Question

question
in the diagram below, (overline{fg}congoverline{hg}), (overline{bd}paralleloverline{ei}) and (mangle acb = 61^{circ}). find (mangle cdh).
answer
attempt 1 out of 3
you may assume lines that appear straight are straight, but the figure is not otherwise drawn to scale.

Explanation:

Step1: 对顶角相等

因为\(\angle ACB\)与\(\angle FCD\)是对顶角，所以\(\angle FCD=\angle ACB = 61^{\circ}\)。

Step2: 平行线性质

由于\(\overline{BD}\parallel\overline{EI}\)，根据两直线平行，内错角相等，\(\angle CDH=\angle FCD\)。

Step3: 得出结果

所以\(\angle CDH = 61^{\circ}\)。

Answer:

\(61^{\circ}\)